Nonlinear Tollmien-Schlichting/vortex interaction in boundary layers

Hall, P.; Smith, F. T.

The nonlinear reaction between two oblique 3-D Tollmein-Schlichting (TS) waves and their induced streamwise-vortex flow is considered theoretically for an imcompressible boundary layer. The same theory applies to the destabilization of an incident vortex motion by subharmonic TS waves, followed by interaction. The scales and flow structure involved are addressed for high Reynolds numbers. The nonlionear interaction is powerful, starting at quite low amplitudes with a triple-deck structure for the TS waves but a large-scale structure for the induced vortex, after which strong nonlinear amplification occurs. This includes nonparallel-flow effects. The nonlinear interaction is governed by a partial differential system for the vortex flow coupled with an ordinary-differential one for the TS pressure. The solution properties found sometimes produce a breakup within a finite distance and sometimes further downstream, depending on the input amplitudes upstream and on the wave angles, and that then leads to the second stages of interaction associated with higher amplitudes, the main second stages giving either long-scale phenomena significantly affected by nonparallelism or shorter quasi-parallel ones governed by the full nonlinear triple-deck response.

Document ID

19880020331

Acquisition Source

Legacy CDMS

Document Type

Preprint (Draft being sent to journal)

Authors

Date Acquired

September 5, 2013

Publication Date

August 1, 1988

Subject Category

Report/Patent Number

Accession Number

88N29715

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Distribution Limits

Public

Work of the US Gov. Public Use Permitted.

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